Simplifying, Adding, and Subtracting Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs of factors to take out of the radical.

Front

What is the square root of 16?

Back

4

Front

What is the square root of a negative number?

Back

The square root of a negative number is an imaginary number, represented as 'i' times the square root of the positive part.

Front

Simplify: √(a²)

Back

a (for a ≥ 0)

Front

What does it mean to add or subtract radicals?

Back

To add or subtract radicals, combine like terms, which means only adding or subtracting radicals with the same index and radicand.

Front

Simplify: 3√2 + 5√2

Back

8√2

Front

What is the result of √(a) * √(a)?

Back

a

Front

Simplify: √(50)

Back

5√2

Front

What is the sum of 4√3 and -2√3?

Back

2√3